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What is equivalent to 3/2?

Understand the Problem

The question is asking for a value that is equivalent to the fraction 3/2. This involves identifying different forms or representations of the same numerical value.

Answer

The fraction $\frac{3}{2}$ is equivalent to 1.5, or 150\%, and can also be expressed as $\frac{6}{4}$.
Answer for screen readers

The fraction $\frac{3}{2}$ is equivalent to 1.5, or 150%, and can also be expressed as $\frac{6}{4}$.

Steps to Solve

  1. Convert the fraction to a decimal

To convert the fraction $\frac{3}{2}$ into a decimal form, you divide 3 by 2.

$$ 3 \div 2 = 1.5 $$

  1. Convert the fraction to a percentage

To express the fraction as a percentage, multiply the decimal by 100.

$$ 1.5 \times 100 = 150% $$

  1. Show the equivalent fraction

You can also express the fraction $\frac{3}{2}$ in terms of another numerator and denominator. For example, if you multiply both the numerator and denominator by 2:

$$ \frac{3 \times 2}{2 \times 2} = \frac{6}{4} $$

Thus, $\frac{3}{2}$ is equivalent to $\frac{6}{4}$.

The fraction $\frac{3}{2}$ is equivalent to 1.5, or 150%, and can also be expressed as $\frac{6}{4}$.

More Information

Fractions can be expressed in multiple forms, including decimals and percentages, and sometimes in terms of larger or smaller fractions. This flexibility is useful in various mathematical applications.

Tips

  • Miscalculating the division in converting to a decimal.
  • Forgetting to multiply by 100 when converting to a percentage.
  • Not simplifying equivalent fractions properly.
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